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Finding the Fourth Proportional to 114,434.50, 157,926.10 and 64,136.74

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Solution

The fourth proportional to 114,434.50, 157,926.10 and 64,136.74 is: 88,512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,434.50 : 157,926.10 = 64,136.74 : x
  2. Step 2: Convert to fraction form
    114,434.50/157,926.10 = 64,136.74/x
  3. Step 3: Cross multiply
    114,434.50x = 157,926.10 × 64,136.74
  4. Step 4: Simplify right side
    114,434.50x = 10,128,865,214.91
  5. Step 5: Solve for x
    x = 10,128,865,214.91/114,434.50
  6. Step 6: Final answer
    x = 88,512.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.